17 citations · 60 across the 9 of their papers we have counts for
10 papers
The web of reflexive polygons is connected
Makoto Miura
We discuss the problem on the connectedness of various webs of lattice polytopes by introducing a geometric point of view from the toric Mori theory. To this end, we provide a comb…
Complete intersection Calabi--Yau threefolds in Hibi toric varieties and their smoothing
Makoto Miura
In this article, we summarize combinatorial description of complete intersection Calabi-Yau threefolds in Hibi toric varieties. Such Calabi-Yau threefolds have at worst conifold si…
Projective reconstruction in algebraic vision
Atsushi Ito, Makoto Miura, Kazushi Ueda
We discuss the geometry of rational maps from a projective space of an arbitrary dimension to the product of projective spaces of lower dimensions induced by linear projections. In…
Derived equivalence and Grothendieck ring of varieties: the case of K3 surfaces of degree 12 and abelian varieties
Atsushi Ito, Makoto Miura, Shinnosuke Okawa +1
In this paper, we discuss the problem of whether the difference of the classes of a Fourier--Mukai pair of smooth projective varieties in the Grothendieck ring o…
-functions of Calabi--Yau 3-folds in Grassmannians
Daisuke Inoue, Atsushi Ito, Makoto Miura
We study -functions of Calabi--Yau 3-folds with Picard number one which are zero loci of general sections of direct sums of globally generated irreducible homogeneous vector bun…
Complete intersection Calabi--Yau manifolds with respect to homogeneous vector bundles on Grassmannians
Daisuke Inoue, Atsushi Ito, Makoto Miura
Based on the method by [Küc95], we give a procedure to list up all complete intersection Calabi--Yau manifolds with respect to direct sums of irreducible homogeneous vector bundles…